Disclosed herein is a high-strength hot-rolled steel sheet superior in stretch-flanging properties and fatigue properties which comprises (in mass %) 0.01-0.10% C, less than 2% Si (including 0%), 0.5-2% Mn, less than 0.08% P (including 0%), less than 0.01% S (including 0%), less than 0.01% N (including 0%), 0.01-0.1% Al, and at least one of 0.1-0.5% Ti and less than 0.8% Nb (including 0%), with the granular bainitic structure accounting for more than 80% (by area) in its sectional metallographic structure. Disclosed also herein is a process for producing said steel sheet.